{smcl}
{com}{sf}{ul off}{txt}{.-}
      name:  {res}<unnamed>
       {txt}log:  {res}C:\Users\meh443\Dropbox\Security Cooperation Market\Articles\ISQ submission 2015\Regression analysis\Log file  1 - Lake replication.smcl
  {txt}log type:  {res}smcl
 {txt}opened on:  {res}29 Jun 2016, 16:33:18

{com}. *TABLE 1: Lake (2009) Replication [shown in article]

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. 
. 
. *Model 1: Baseline Model for Comparability with Lake (2009)

. 
. 
. 
. xtlogit coalition_participation us_SH1995 us_EH1995 majpowstatus lnmilex sameregion sharedlang jointregime rivalry_involvement govcrises warcoalition interventioncoalition uncl rocl, i(ccode2) re noskip
{txt}warning: existing panel variable is not ccode2

Fitting comparison model:

{res}{txt}Iteration 0:{space 3}log likelihood = {res:-449.11196}  
Iteration 1:{space 3}log likelihood = {res:-374.28457}  
Iteration 2:{space 3}log likelihood = {res:-348.67686}  
Iteration 3:{space 3}log likelihood = {res: -347.9803}  
Iteration 4:{space 3}log likelihood = {res:-347.97969}  
Iteration 5:{space 3}log likelihood = {res:-347.97969}  
{res}
{txt}Fitting constant-only model:

tau = {res} 0.0     {txt}log likelihood = {res}-449.11196
{txt}tau = {res} 0.1     {txt}log likelihood = {res}-443.33338
{txt}tau = {res} 0.2     {txt}log likelihood = {res}-439.17487
{txt}tau = {res} 0.3     {txt}log likelihood = {res}-436.75504
{txt}tau = {res} 0.4     {txt}log likelihood = {res}-435.97943
{txt}tau = {res} 0.5     {txt}log likelihood = {res}-436.81594

{txt}Iteration 0:{space 3}log likelihood = {res:-435.97956}  
Iteration 1:{space 3}log likelihood = {res:-431.85628}  
Iteration 2:{space 3}log likelihood = {res:-431.77852}  
Iteration 3:{space 3}log likelihood = {res: -431.7784}  
Iteration 4:{space 3}log likelihood = {res: -431.7784}  
{res}
{txt}Fitting full model:

tau = {res} 0.0     {txt}log likelihood = {res}-347.97969
{txt}tau = {res} 0.1     {txt}log likelihood = {res}-345.78215
{txt}tau = {res} 0.2     {txt}log likelihood = {res}-344.50641
{txt}tau = {res} 0.3     {txt}log likelihood = {res}-344.17855
{txt}tau = {res} 0.4     {txt}log likelihood = {res} -344.8658

{txt}Iteration 0:{space 3}log likelihood = {res: -344.1785}  
Iteration 1:{space 3}log likelihood = {res:-342.66131}  
Iteration 2:{space 3}log likelihood = {res:-342.64514}  
Iteration 3:{space 3}log likelihood = {res:-342.64513}  
{res}
{txt}Random-effects logistic regression{col 49}Number of obs{col 67}={col 69}{res}     1,525
{txt}Group variable: {res}ccode2{col 49}{txt}Number of groups{col 67}={col 69}{res}       137

{txt}Random effects u_i ~ {res}Gaussian{txt}{col 49}Obs per group:
{col 63}min{col 67}={col 69}{res}         2
{txt}{col 63}avg{col 67}={col 69}{res}      11.1
{txt}{col 63}max{col 67}={col 69}{res}        15

{txt}Integration method: {res}mvaghermite{txt}{col 49}Integration pts.{col 67}={col 70}{res}       12

{txt}{col 49}LR chi2({res}13{txt}){col 67}={col 70}{res}   178.27
{txt}Log likelihood  = {res}-342.64513{col 49}{txt}Prob > chi2{col 67}={res}{col 73}0.0000

{txt}{hline 24}{c TT}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{col 1}coalition_participation{col 25}{c |}      Coef.{col 37}   Std. Err.{col 49}      z{col 57}   P>|z|{col 65}     [95% Con{col 78}f. Interval]
{hline 24}{c +}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{space 14}us_SH1995 {c |}{col 25}{res}{space 2} .8232051{col 37}{space 2} .3570326{col 48}{space 1}    2.31{col 57}{space 3}0.021{col 65}{space 4}  .123434{col 78}{space 3} 1.522976
{txt}{space 14}us_EH1995 {c |}{col 25}{res}{space 2} 1.315188{col 37}{space 2} .4101557{col 48}{space 1}    3.21{col 57}{space 3}0.001{col 65}{space 4} .5112973{col 78}{space 3} 2.119078
{txt}{space 11}majpowstatus {c |}{col 25}{res}{space 2} .0334732{col 37}{space 2} 1.082959{col 48}{space 1}    0.03{col 57}{space 3}0.975{col 65}{space 4}-2.089088{col 78}{space 3} 2.156034
{txt}{space 16}lnmilex {c |}{col 25}{res}{space 2}  .209607{col 37}{space 2} .0429757{col 48}{space 1}    4.88{col 57}{space 3}0.000{col 65}{space 4} .1253762{col 78}{space 3} .2938377
{txt}{space 13}sameregion {c |}{col 25}{res}{space 2} 1.893051{col 37}{space 2} .2467007{col 48}{space 1}    7.67{col 57}{space 3}0.000{col 65}{space 4} 1.409527{col 78}{space 3} 2.376575
{txt}{space 13}sharedlang {c |}{col 25}{res}{space 2} 1.091624{col 37}{space 2} .3254538{col 48}{space 1}    3.35{col 57}{space 3}0.001{col 65}{space 4} .4537465{col 78}{space 3} 1.729502
{txt}{space 12}jointregime {c |}{col 25}{res}{space 2} .4553709{col 37}{space 2} .2791588{col 48}{space 1}    1.63{col 57}{space 3}0.103{col 65}{space 4}-.0917703{col 78}{space 3} 1.002512
{txt}{space 4}rivalry_involvement {c |}{col 25}{res}{space 2}-.3522449{col 37}{space 2}  .401204{col 48}{space 1}   -0.88{col 57}{space 3}0.380{col 65}{space 4} -1.13859{col 78}{space 3} .4341004
{txt}{space 14}govcrises {c |}{col 25}{res}{space 2} .3040351{col 37}{space 2} .1803045{col 48}{space 1}    1.69{col 57}{space 3}0.092{col 65}{space 4}-.0493553{col 78}{space 3} .6574255
{txt}{space 11}warcoalition {c |}{col 25}{res}{space 2} .3642258{col 37}{space 2} .3515338{col 48}{space 1}    1.04{col 57}{space 3}0.300{col 65}{space 4}-.3247678{col 78}{space 3} 1.053219
{txt}{space 2}interventioncoalition {c |}{col 25}{res}{space 2}-.5238831{col 37}{space 2} .4084038{col 48}{space 1}   -1.28{col 57}{space 3}0.200{col 65}{space 4} -1.32434{col 78}{space 3} .2765736
{txt}{space 19}uncl {c |}{col 25}{res}{space 2}  1.88786{col 37}{space 2} .4225983{col 48}{space 1}    4.47{col 57}{space 3}0.000{col 65}{space 4} 1.059583{col 78}{space 3} 2.716138
{txt}{space 19}rocl {c |}{col 25}{res}{space 2} .0846872{col 37}{space 2} .3705361{col 48}{space 1}    0.23{col 57}{space 3}0.819{col 65}{space 4}-.6415503{col 78}{space 3} .8109246
{txt}{space 18}_cons {c |}{col 25}{res}{space 2}-7.592378{col 37}{space 2} .7084419{col 48}{space 1}  -10.72{col 57}{space 3}0.000{col 65}{space 4}-8.980899{col 78}{space 3}-6.203857
{txt}{hline 24}{c +}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
               /lnsig2u {c |}{col 25}{res}{space 2}-.4563653{col 37}{space 2} .4642682{col 65}{space 4}-1.366314{col 78}{space 3} .4535836
{txt}{hline 24}{c +}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
                sigma_u {c |}{col 25}{res}{space 2} .7959789{col 37}{space 2} .1847738{col 65}{space 4} .5050201{col 78}{space 3} 1.254569
{txt}                    rho {c |}{col 25}{res}{space 2}  .161486{col 37}{space 2} .0628658{col 65}{space 4} .0719468{col 78}{space 3} .3236028
{txt}{hline 24}{c BT}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{txt}LR test of rho=0: {help j_chibar##|_new:chibar2(01) = }{res}10.67{col 56}{txt}Prob >= chibar2 = {res}0.001

{com}. 
. 
. 
. display "pseudo R2=" (e(ll_0)-e(ll))/e(ll_0)
{res}pseudo R2=.20643292

{com}. 
. 
. 
. *Model 2: Lake (2009) Model with Diplomatic Embeddedness Variable 

. 
. 
. 
. xtlogit coalition_participation iembed us_SH1995 us_EH1995 majpowstatus lnmilex sameregion sharedlang jointregime rivalry_involvement govcrises warcoalition interventioncoalition uncl rocl, i(ccode2) re noskip

{txt}Fitting comparison model:

{res}{txt}Iteration 0:{space 3}log likelihood = {res:-449.11196}  
Iteration 1:{space 3}log likelihood = {res:-374.14611}  
Iteration 2:{space 3}log likelihood = {res:-344.15855}  
Iteration 3:{space 3}log likelihood = {res:-343.44517}  
Iteration 4:{space 3}log likelihood = {res:-343.44409}  
Iteration 5:{space 3}log likelihood = {res:-343.44409}  
{res}
{txt}Fitting constant-only model:

tau = {res} 0.0     {txt}log likelihood = {res}-449.11196
{txt}tau = {res} 0.1     {txt}log likelihood = {res}-443.33338
{txt}tau = {res} 0.2     {txt}log likelihood = {res}-439.17487
{txt}tau = {res} 0.3     {txt}log likelihood = {res}-436.75504
{txt}tau = {res} 0.4     {txt}log likelihood = {res}-435.97943
{txt}tau = {res} 0.5     {txt}log likelihood = {res}-436.81594

{txt}Iteration 0:{space 3}log likelihood = {res:-435.97956}  
Iteration 1:{space 3}log likelihood = {res:-431.85628}  
Iteration 2:{space 3}log likelihood = {res:-431.77852}  
Iteration 3:{space 3}log likelihood = {res: -431.7784}  
Iteration 4:{space 3}log likelihood = {res: -431.7784}  
{res}
{txt}Fitting full model:

tau = {res} 0.0     {txt}log likelihood = {res}-343.44409
{txt}tau = {res} 0.1     {txt}log likelihood = {res}-341.04168
{txt}tau = {res} 0.2     {txt}log likelihood = {res}-339.62152
{txt}tau = {res} 0.3     {txt}log likelihood = {res}-339.20001
{txt}tau = {res} 0.4     {txt}log likelihood = {res}-339.84052

{txt}Iteration 0:{space 3}log likelihood = {res:-339.19998}  
Iteration 1:{space 3}log likelihood = {res:-337.51732}  
Iteration 2:{space 3}log likelihood = {res:-337.49996}  
Iteration 3:{space 3}log likelihood = {res:-337.49995}  
{res}
{txt}Random-effects logistic regression{col 49}Number of obs{col 67}={col 69}{res}     1,525
{txt}Group variable: {res}ccode2{col 49}{txt}Number of groups{col 67}={col 69}{res}       137

{txt}Random effects u_i ~ {res}Gaussian{txt}{col 49}Obs per group:
{col 63}min{col 67}={col 69}{res}         2
{txt}{col 63}avg{col 67}={col 69}{res}      11.1
{txt}{col 63}max{col 67}={col 69}{res}        15

{txt}Integration method: {res}mvaghermite{txt}{col 49}Integration pts.{col 67}={col 70}{res}       12

{txt}{col 49}LR chi2({res}14{txt}){col 67}={col 70}{res}   188.56
{txt}Log likelihood  = {res}-337.49995{col 49}{txt}Prob > chi2{col 67}={res}{col 73}0.0000

{txt}{hline 24}{c TT}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{col 1}coalition_participation{col 25}{c |}      Coef.{col 37}   Std. Err.{col 49}      z{col 57}   P>|z|{col 65}     [95% Con{col 78}f. Interval]
{hline 24}{c +}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{space 17}iembed {c |}{col 25}{res}{space 2} .0249977{col 37}{space 2} .0080427{col 48}{space 1}    3.11{col 57}{space 3}0.002{col 65}{space 4} .0092342{col 78}{space 3} .0407612
{txt}{space 14}us_SH1995 {c |}{col 25}{res}{space 2} .3498703{col 37}{space 2}    .4554{col 48}{space 1}    0.77{col 57}{space 3}0.442{col 65}{space 4}-.5426973{col 78}{space 3} 1.242438
{txt}{space 14}us_EH1995 {c |}{col 25}{res}{space 2} 1.257337{col 37}{space 2} .4292489{col 48}{space 1}    2.93{col 57}{space 3}0.003{col 65}{space 4} .4160241{col 78}{space 3} 2.098649
{txt}{space 11}majpowstatus {c |}{col 25}{res}{space 2}  .096937{col 37}{space 2}  1.06318{col 48}{space 1}    0.09{col 57}{space 3}0.927{col 65}{space 4}-1.986857{col 78}{space 3} 2.180731
{txt}{space 16}lnmilex {c |}{col 25}{res}{space 2} .1100995{col 37}{space 2} .0500891{col 48}{space 1}    2.20{col 57}{space 3}0.028{col 65}{space 4} .0119267{col 78}{space 3} .2082724
{txt}{space 13}sameregion {c |}{col 25}{res}{space 2} 1.949994{col 37}{space 2} .2504781{col 48}{space 1}    7.79{col 57}{space 3}0.000{col 65}{space 4} 1.459066{col 78}{space 3} 2.440922
{txt}{space 13}sharedlang {c |}{col 25}{res}{space 2} 1.021561{col 37}{space 2} .3315183{col 48}{space 1}    3.08{col 57}{space 3}0.002{col 65}{space 4} .3717974{col 78}{space 3} 1.671325
{txt}{space 12}jointregime {c |}{col 25}{res}{space 2} .2545824{col 37}{space 2} .2920613{col 48}{space 1}    0.87{col 57}{space 3}0.383{col 65}{space 4}-.3178471{col 78}{space 3}  .827012
{txt}{space 4}rivalry_involvement {c |}{col 25}{res}{space 2}-.3902873{col 37}{space 2} .4093015{col 48}{space 1}   -0.95{col 57}{space 3}0.340{col 65}{space 4}-1.192503{col 78}{space 3} .4119289
{txt}{space 14}govcrises {c |}{col 25}{res}{space 2} .3085823{col 37}{space 2}   .18224{col 48}{space 1}    1.69{col 57}{space 3}0.090{col 65}{space 4}-.0486014{col 78}{space 3} .6657661
{txt}{space 11}warcoalition {c |}{col 25}{res}{space 2} .1489983{col 37}{space 2} .3652835{col 48}{space 1}    0.41{col 57}{space 3}0.683{col 65}{space 4}-.5669442{col 78}{space 3} .8649407
{txt}{space 2}interventioncoalition {c |}{col 25}{res}{space 2}-.9140833{col 37}{space 2} .4405762{col 48}{space 1}   -2.07{col 57}{space 3}0.038{col 65}{space 4}-1.777597{col 78}{space 3}-.0505698
{txt}{space 19}uncl {c |}{col 25}{res}{space 2} 2.005862{col 37}{space 2} .4385316{col 48}{space 1}    4.57{col 57}{space 3}0.000{col 65}{space 4} 1.146356{col 78}{space 3} 2.865368
{txt}{space 19}rocl {c |}{col 25}{res}{space 2} .1213495{col 37}{space 2} .3752565{col 48}{space 1}    0.32{col 57}{space 3}0.746{col 65}{space 4}-.6141397{col 78}{space 3} .8568387
{txt}{space 18}_cons {c |}{col 25}{res}{space 2}-7.130923{col 37}{space 2} .6844169{col 48}{space 1}  -10.42{col 57}{space 3}0.000{col 65}{space 4}-8.472356{col 78}{space 3}-5.789491
{txt}{hline 24}{c +}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
               /lnsig2u {c |}{col 25}{res}{space 2}-.4131025{col 37}{space 2} .4481262{col 65}{space 4}-1.291414{col 78}{space 3} .4652087
{txt}{hline 24}{c +}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
                sigma_u {c |}{col 25}{res}{space 2} .8133846{col 37}{space 2} .1822495{col 65}{space 4} .5242918{col 78}{space 3} 1.261882
{txt}                    rho {c |}{col 25}{res}{space 2} .1674303{col 37}{space 2} .0624676{col 65}{space 4} .0771111{col 78}{space 3} .3261525
{txt}{hline 24}{c BT}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{txt}LR test of rho=0: {help j_chibar##|_new:chibar2(01) = }{res}11.89{col 56}{txt}Prob >= chibar2 = {res}0.000

{com}. 
. 
. 
. display "pseudo R2=" (e(ll_0)-e(ll))/e(ll_0)
{res}pseudo R2=.21834916

{com}. 
. 
. 
. *Model 3: Lake (2009) Model with all individual component of indexes

. 
. 
. 
. xtlogit coalition_participation iembed us_indally us_indexmilperpop1995 us_indexreltradep1995 us_indexexchangerate1995 majpowstatus lnmilex sameregion sharedlang jointregime rivalry_involvement govcrises warcoalition interventioncoalition uncl rocl, i(ccode2) re noskip

{txt}Fitting comparison model:

{res}{txt}Iteration 0:{space 3}log likelihood = {res:-533.93381}  
Iteration 1:{space 3}log likelihood = {res:-445.79726}  
Iteration 2:{space 3}log likelihood = {res:-395.58902}  
Iteration 3:{space 3}log likelihood = {res:-393.69563}  
Iteration 4:{space 3}log likelihood = {res:-393.68573}  
Iteration 5:{space 3}log likelihood = {res:-393.68571}  
{res}
{txt}Fitting constant-only model:

tau = {res} 0.0     {txt}log likelihood = {res}-533.93381
{txt}tau = {res} 0.1     {txt}log likelihood = {res}-527.45596
{txt}tau = {res} 0.2     {txt}log likelihood = {res}-522.67058
{txt}tau = {res} 0.3     {txt}log likelihood = {res}-519.90314
{txt}tau = {res} 0.4     {txt}log likelihood = {res}-519.17391
{txt}tau = {res} 0.5     {txt}log likelihood = {res}-520.52889

{txt}Iteration 0:{space 3}log likelihood = {res:-519.17656}  
Iteration 1:{space 3}log likelihood = {res:-513.78429}  
Iteration 2:{space 3}log likelihood = {res:-513.66323}  
Iteration 3:{space 3}log likelihood = {res:-513.66291}  
Iteration 4:{space 3}log likelihood = {res:-513.66291}  
{res}
{txt}Fitting full model:

tau = {res} 0.0     {txt}log likelihood = {res}-393.68571
{txt}tau = {res} 0.1     {txt}log likelihood = {res}-391.99636
{txt}tau = {res} 0.2     {txt}log likelihood = {res}-391.23325
{txt}tau = {res} 0.3     {txt}log likelihood = {res} -391.4724

{txt}Iteration 0:{space 3}log likelihood = {res:-391.23325}  
Iteration 1:{space 3}log likelihood = {res:-390.32741}  
Iteration 2:{space 3}log likelihood = {res: -390.2046}  
Iteration 3:{space 3}log likelihood = {res:-390.20373}  
Iteration 4:{space 3}log likelihood = {res:-390.20373}  
{res}
{txt}Random-effects logistic regression{col 49}Number of obs{col 67}={col 69}{res}     2,015
{txt}Group variable: {res}ccode2{col 49}{txt}Number of groups{col 67}={col 69}{res}       190

{txt}Random effects u_i ~ {res}Gaussian{txt}{col 49}Obs per group:
{col 63}min{col 67}={col 69}{res}         1
{txt}{col 63}avg{col 67}={col 69}{res}      10.6
{txt}{col 63}max{col 67}={col 69}{res}        15

{txt}Integration method: {res}mvaghermite{txt}{col 49}Integration pts.{col 67}={col 70}{res}       12

{txt}{col 49}LR chi2({res}16{txt}){col 67}={col 70}{res}   246.92
{txt}Log likelihood  = {res}-390.20373{col 49}{txt}Prob > chi2{col 67}={res}{col 73}0.0000

{txt}{hline 25}{c TT}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{col 1} coalition_participation{col 26}{c |}      Coef.{col 38}   Std. Err.{col 50}      z{col 58}   P>|z|{col 66}     [95% Con{col 79}f. Interval]
{hline 25}{c +}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{space 18}iembed {c |}{col 26}{res}{space 2} .0222687{col 38}{space 2} .0073743{col 49}{space 1}    3.02{col 58}{space 3}0.003{col 66}{space 4} .0078153{col 79}{space 3}  .036722
{txt}{space 14}us_indally {c |}{col 26}{res}{space 2} .6497247{col 38}{space 2} .2920571{col 49}{space 1}    2.22{col 58}{space 3}0.026{col 66}{space 4} .0773032{col 79}{space 3} 1.222146
{txt}{space 3}us_indexmilperpop1995 {c |}{col 26}{res}{space 2}-.3701285{col 38}{space 2} .5251522{col 49}{space 1}   -0.70{col 58}{space 3}0.481{col 66}{space 4}-1.399408{col 79}{space 3} .6591508
{txt}{space 3}us_indexreltradep1995 {c |}{col 26}{res}{space 2}-.1874632{col 38}{space 2} .6989719{col 49}{space 1}   -0.27{col 58}{space 3}0.789{col 66}{space 4}-1.557423{col 79}{space 3} 1.182497
{txt}us_indexexchangerate1995 {c |}{col 26}{res}{space 2} .9538624{col 38}{space 2} .3365646{col 49}{space 1}    2.83{col 58}{space 3}0.005{col 66}{space 4} .2942079{col 79}{space 3} 1.613517
{txt}{space 12}majpowstatus {c |}{col 26}{res}{space 2} .0485717{col 38}{space 2} 1.011897{col 49}{space 1}    0.05{col 58}{space 3}0.962{col 66}{space 4}-1.934709{col 79}{space 3} 2.031853
{txt}{space 17}lnmilex {c |}{col 26}{res}{space 2}  .105771{col 38}{space 2} .0409964{col 49}{space 1}    2.58{col 58}{space 3}0.010{col 66}{space 4} .0254194{col 79}{space 3} .1861225
{txt}{space 14}sameregion {c |}{col 26}{res}{space 2} 1.970912{col 38}{space 2} .2285476{col 49}{space 1}    8.62{col 58}{space 3}0.000{col 66}{space 4} 1.522967{col 79}{space 3} 2.418857
{txt}{space 14}sharedlang {c |}{col 26}{res}{space 2} 1.029052{col 38}{space 2} .2803651{col 49}{space 1}    3.67{col 58}{space 3}0.000{col 66}{space 4} .4795461{col 79}{space 3} 1.578557
{txt}{space 13}jointregime {c |}{col 26}{res}{space 2} .2168954{col 38}{space 2} .2654862{col 49}{space 1}    0.82{col 58}{space 3}0.414{col 66}{space 4} -.303448{col 79}{space 3} .7372388
{txt}{space 5}rivalry_involvement {c |}{col 26}{res}{space 2}-.4348226{col 38}{space 2} .3787728{col 49}{space 1}   -1.15{col 58}{space 3}0.251{col 66}{space 4}-1.177204{col 79}{space 3} .3075585
{txt}{space 15}govcrises {c |}{col 26}{res}{space 2} .2803955{col 38}{space 2}  .176697{col 49}{space 1}    1.59{col 58}{space 3}0.113{col 66}{space 4}-.0659242{col 79}{space 3} .6267152
{txt}{space 12}warcoalition {c |}{col 26}{res}{space 2} .2479194{col 38}{space 2} .3498869{col 49}{space 1}    0.71{col 58}{space 3}0.479{col 66}{space 4}-.4378464{col 79}{space 3} .9336852
{txt}{space 3}interventioncoalition {c |}{col 26}{res}{space 2}-.8721589{col 38}{space 2} .4131161{col 49}{space 1}   -2.11{col 58}{space 3}0.035{col 66}{space 4}-1.681852{col 79}{space 3}-.0624662
{txt}{space 20}uncl {c |}{col 26}{res}{space 2} 2.103058{col 38}{space 2} .4133601{col 49}{space 1}    5.09{col 58}{space 3}0.000{col 66}{space 4} 1.292887{col 79}{space 3} 2.913229
{txt}{space 20}rocl {c |}{col 26}{res}{space 2} .0754501{col 38}{space 2}  .360441{col 49}{space 1}    0.21{col 58}{space 3}0.834{col 66}{space 4}-.6310012{col 79}{space 3} .7819014
{txt}{space 19}_cons {c |}{col 26}{res}{space 2}-7.067629{col 38}{space 2} .5828098{col 49}{space 1}  -12.13{col 58}{space 3}0.000{col 66}{space 4}-8.209915{col 79}{space 3}-5.925343
{txt}{hline 25}{c +}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
                /lnsig2u {c |}{col 26}{res}{space 2}-.7808186{col 38}{space 2}  .520281{col 66}{space 4}-1.800551{col 79}{space 3} .2389134
{txt}{hline 25}{c +}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
                 sigma_u {c |}{col 26}{res}{space 2} .6767798{col 38}{space 2} .1760578{col 66}{space 4} .4064578{col 79}{space 3} 1.126884
{txt}                     rho {c |}{col 26}{res}{space 2}   .12221{col 38}{space 2}  .055813{col 66}{space 4}  .047816{col 79}{space 3}  .278496
{txt}{hline 25}{c BT}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{txt}LR test of rho=0: {help j_chibar##|_new:chibar2(01) = }{res}6.96{col 56}{txt}Prob >= chibar2 = {res}0.004

{com}. 
. 
. 
. display "pseudo R2=" (e(ll_0)-e(ll))/e(ll_0)
{res}pseudo R2=.24035059

{com}. 
. 
. 
. *ROBUSTENESS CHECKS [not shown in article]

. 
. 
. 
. *Check 1: Lake (2009) Model with all Diplomatic Embeddedness component indicators

. 
. 
. 
. xtlogit coalition_participation bilatsum igosum us_indally us_indexmilperpop1995 us_indexreltradep1995 us_indexexchangerate1995 majpowstatus lnmilex sameregion sharedlang jointregime rivalry_involvement govcrises warcoalition interventioncoalition uncl rocl, i(ccode2)

{txt}Fitting comparison model:

{res}{txt}Iteration 0:{space 3}log likelihood = {res:-533.93381}  
Iteration 1:{space 3}log likelihood = {res:-446.15807}  
Iteration 2:{space 3}log likelihood = {res:-394.01797}  
Iteration 3:{space 3}log likelihood = {res:-391.71898}  
Iteration 4:{space 3}log likelihood = {res:-391.70588}  
Iteration 5:{space 3}log likelihood = {res:-391.70587}  
{res}
{txt}Fitting full model:

tau = {res} 0.0     {txt}log likelihood = {res}-391.70587
{txt}tau = {res} 0.1     {txt}log likelihood = {res}-390.17459
{txt}tau = {res} 0.2     {txt}log likelihood = {res}-389.50489
{txt}tau = {res} 0.3     {txt}log likelihood = {res} -389.7831

{txt}Iteration 0:{space 3}log likelihood = {res:-389.50489}  
Iteration 1:{space 3}log likelihood = {res:-388.75665}  
Iteration 2:{space 3}log likelihood = {res:-388.70173}  
Iteration 3:{space 3}log likelihood = {res:-388.70158}  
Iteration 4:{space 3}log likelihood = {res:-388.70158}  
{res}
{txt}Random-effects logistic regression{col 49}Number of obs{col 67}={col 69}{res}     2,015
{txt}Group variable: {res}ccode2{col 49}{txt}Number of groups{col 67}={col 69}{res}       190

{txt}Random effects u_i ~ {res}Gaussian{txt}{col 49}Obs per group:
{col 63}min{col 67}={col 69}{res}         1
{txt}{col 63}avg{col 67}={col 69}{res}      10.6
{txt}{col 63}max{col 67}={col 69}{res}        15

{txt}Integration method: {res}mvaghermite{txt}{col 49}Integration pts.{col 67}={col 70}{res}       12

{txt}{col 49}Wald chi2({res}17{txt}){col 67}={col 70}{res}   166.89
{txt}Log likelihood  = {res}-388.70158{col 49}{txt}Prob > chi2{col 67}={res}{col 73}0.0000

{txt}{hline 25}{c TT}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{col 1} coalition_participation{col 26}{c |}      Coef.{col 38}   Std. Err.{col 50}      z{col 58}   P>|z|{col 66}     [95% Con{col 79}f. Interval]
{hline 25}{c +}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{space 16}bilatsum {c |}{col 26}{res}{space 2} .0026182{col 38}{space 2} .0133029{col 49}{space 1}    0.20{col 58}{space 3}0.844{col 66}{space 4} -.023455{col 79}{space 3} .0286914
{txt}{space 18}igosum {c |}{col 26}{res}{space 2} .0434606{col 38}{space 2} .0143906{col 49}{space 1}    3.02{col 58}{space 3}0.003{col 66}{space 4} .0152554{col 79}{space 3} .0716657
{txt}{space 14}us_indally {c |}{col 26}{res}{space 2} .5525992{col 38}{space 2} .2923608{col 49}{space 1}    1.89{col 58}{space 3}0.059{col 66}{space 4}-.0204174{col 79}{space 3} 1.125616
{txt}{space 3}us_indexmilperpop1995 {c |}{col 26}{res}{space 2}-.4242409{col 38}{space 2} .5299769{col 49}{space 1}   -0.80{col 58}{space 3}0.423{col 66}{space 4}-1.462976{col 79}{space 3} .6144948
{txt}{space 3}us_indexreltradep1995 {c |}{col 26}{res}{space 2} .0350204{col 38}{space 2}  .597075{col 49}{space 1}    0.06{col 58}{space 3}0.953{col 66}{space 4}-1.135225{col 79}{space 3} 1.205266
{txt}us_indexexchangerate1995 {c |}{col 26}{res}{space 2} 1.017475{col 38}{space 2} .3380649{col 49}{space 1}    3.01{col 58}{space 3}0.003{col 66}{space 4} .3548798{col 79}{space 3}  1.68007
{txt}{space 12}majpowstatus {c |}{col 26}{res}{space 2}-.1513643{col 38}{space 2} 1.020163{col 49}{space 1}   -0.15{col 58}{space 3}0.882{col 66}{space 4}-2.150848{col 79}{space 3} 1.848119
{txt}{space 17}lnmilex {c |}{col 26}{res}{space 2} .0930343{col 38}{space 2} .0411877{col 49}{space 1}    2.26{col 58}{space 3}0.024{col 66}{space 4} .0123079{col 79}{space 3} .1737608
{txt}{space 14}sameregion {c |}{col 26}{res}{space 2} 1.983147{col 38}{space 2} .2282293{col 49}{space 1}    8.69{col 58}{space 3}0.000{col 66}{space 4} 1.535826{col 79}{space 3} 2.430468
{txt}{space 14}sharedlang {c |}{col 26}{res}{space 2} 1.104535{col 38}{space 2} .2805032{col 49}{space 1}    3.94{col 58}{space 3}0.000{col 66}{space 4} .5547586{col 79}{space 3} 1.654311
{txt}{space 13}jointregime {c |}{col 26}{res}{space 2} .1405747{col 38}{space 2} .2686038{col 49}{space 1}    0.52{col 58}{space 3}0.601{col 66}{space 4} -.385879{col 79}{space 3} .6670283
{txt}{space 5}rivalry_involvement {c |}{col 26}{res}{space 2} -.315659{col 38}{space 2} .3804155{col 49}{space 1}   -0.83{col 58}{space 3}0.407{col 66}{space 4} -1.06126{col 79}{space 3} .4299416
{txt}{space 15}govcrises {c |}{col 26}{res}{space 2} .2849072{col 38}{space 2} .1762209{col 49}{space 1}    1.62{col 58}{space 3}0.106{col 66}{space 4}-.0604795{col 79}{space 3} .6302939
{txt}{space 12}warcoalition {c |}{col 26}{res}{space 2} .1786955{col 38}{space 2} .3551734{col 49}{space 1}    0.50{col 58}{space 3}0.615{col 66}{space 4}-.5174316{col 79}{space 3} .8748226
{txt}{space 3}interventioncoalition {c |}{col 26}{res}{space 2}-.9510343{col 38}{space 2} .4203825{col 49}{space 1}   -2.26{col 58}{space 3}0.024{col 66}{space 4}-1.774969{col 79}{space 3}-.1270998
{txt}{space 20}uncl {c |}{col 26}{res}{space 2} 2.084597{col 38}{space 2} .4199737{col 49}{space 1}    4.96{col 58}{space 3}0.000{col 66}{space 4} 1.261464{col 79}{space 3}  2.90773
{txt}{space 20}rocl {c |}{col 26}{res}{space 2} .0400457{col 38}{space 2} .3640096{col 49}{space 1}    0.11{col 58}{space 3}0.912{col 66}{space 4}-.6733999{col 79}{space 3} .7534914
{txt}{space 19}_cons {c |}{col 26}{res}{space 2}-7.341824{col 38}{space 2} .6062115{col 49}{space 1}  -12.11{col 58}{space 3}0.000{col 66}{space 4}-8.529977{col 79}{space 3}-6.153671
{txt}{hline 25}{c +}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
                /lnsig2u {c |}{col 26}{res}{space 2}-.8580464{col 38}{space 2} .5487891{col 66}{space 4}-1.933653{col 79}{space 3} .2175605
{txt}{hline 25}{c +}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
                 sigma_u {c |}{col 26}{res}{space 2} .6511448{col 38}{space 2} .1786706{col 66}{space 4} .3802879{col 79}{space 3} 1.114917
{txt}                     rho {c |}{col 26}{res}{space 2} .1141642{col 38}{space 2} .0554994{col 66}{space 4} .0421079{col 79}{space 3} .2742258
{txt}{hline 25}{c BT}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{txt}LR test of rho=0: {help j_chibar##|_new:chibar2(01) = }{res}6.01{col 56}{txt}Prob >= chibar2 = {res}0.007

{com}. 
. 
. 
. 
. 
. *Check 2: Lake (2009) Model with Diplomatic Embeddedness Variable fe by conflict

. 
. 
. 
. xtlogit coalition_participation iembed us_SH1995 us_EH1995 majpowstatus lnmilex sameregion sharedlang jointregime rivalry_involvement govcrises warcoalition interventioncoalition uncl rocl, i(caseno) fe
{txt}warning: existing panel variable is not caseno
note: multiple positive outcomes within groups encountered.
note: 1 group (67 obs) dropped because of all positive or
      all negative outcomes.
note: warcoalition omitted because of no within-group variance.
note: interventioncoalition omitted because of no within-group variance.
note: uncl omitted because of no within-group variance.
note: rocl omitted because of no within-group variance.
{res}
{txt}Iteration 0:{space 3}log likelihood = {res:-302.87503}  
Iteration 1:{space 3}log likelihood = {res:-301.71075}  
Iteration 2:{space 3}log likelihood = {res:-301.70745}  
Iteration 3:{space 3}log likelihood = {res:-301.70745}  
{res}
{txt}Conditional fixed-effects logistic regression{col 49}Number of obs{col 67}={col 69}{res}     1,458
{txt}Group variable: {res}caseno{col 49}{txt}Number of groups{col 67}={col 69}{res}        14

{txt}{col 49}Obs per group:
{col 63}min{col 67}={col 69}{res}        56
{txt}{col 63}avg{col 67}={col 69}{res}     104.1
{txt}{col 63}max{col 67}={col 69}{res}       133

{txt}{col 49}LR chi2({res}10{txt}){col 67}={col 70}{res}   146.76
{txt}Log likelihood  = {res}-301.70745{col 49}{txt}Prob > chi2{col 67}={res}{col 73}0.0000

{txt}{hline 24}{c TT}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{col 1}coalition_participation{col 25}{c |}      Coef.{col 37}   Std. Err.{col 49}      z{col 57}   P>|z|{col 65}     [95% Con{col 78}f. Interval]
{hline 24}{c +}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{space 17}iembed {c |}{col 25}{res}{space 2} .0225871{col 37}{space 2} .0074711{col 48}{space 1}    3.02{col 57}{space 3}0.003{col 65}{space 4}  .007944{col 78}{space 3} .0372302
{txt}{space 14}us_SH1995 {c |}{col 25}{res}{space 2} .4007481{col 37}{space 2} .3774823{col 48}{space 1}    1.06{col 57}{space 3}0.288{col 65}{space 4}-.3391037{col 78}{space 3}   1.1406
{txt}{space 14}us_EH1995 {c |}{col 25}{res}{space 2} .7711664{col 37}{space 2} .3616693{col 48}{space 1}    2.13{col 57}{space 3}0.033{col 65}{space 4} .0623075{col 78}{space 3} 1.480025
{txt}{space 11}majpowstatus {c |}{col 25}{res}{space 2}  .026466{col 37}{space 2} .9274233{col 48}{space 1}    0.03{col 57}{space 3}0.977{col 65}{space 4} -1.79125{col 78}{space 3} 1.844182
{txt}{space 16}lnmilex {c |}{col 25}{res}{space 2} .1184917{col 37}{space 2} .0493332{col 48}{space 1}    2.40{col 57}{space 3}0.016{col 65}{space 4} .0218003{col 78}{space 3}  .215183
{txt}{space 13}sameregion {c |}{col 25}{res}{space 2} 1.682103{col 37}{space 2} .2288743{col 48}{space 1}    7.35{col 57}{space 3}0.000{col 65}{space 4} 1.233518{col 78}{space 3} 2.130688
{txt}{space 13}sharedlang {c |}{col 25}{res}{space 2} .9795449{col 37}{space 2} .2446248{col 48}{space 1}    4.00{col 57}{space 3}0.000{col 65}{space 4} .5000891{col 78}{space 3} 1.459001
{txt}{space 12}jointregime {c |}{col 25}{res}{space 2} .3076932{col 37}{space 2} .2470618{col 48}{space 1}    1.25{col 57}{space 3}0.213{col 65}{space 4}-.1765391{col 78}{space 3} .7919255
{txt}{space 4}rivalry_involvement {c |}{col 25}{res}{space 2}-.3113818{col 37}{space 2} .3411452{col 48}{space 1}   -0.91{col 57}{space 3}0.361{col 65}{space 4}-.9800142{col 78}{space 3} .3572505
{txt}{space 14}govcrises {c |}{col 25}{res}{space 2} .2149214{col 37}{space 2} .1703855{col 48}{space 1}    1.26{col 57}{space 3}0.207{col 65}{space 4}-.1190281{col 78}{space 3} .5488708
{txt}{space 11}warcoalition {c |}{col 25}{res}{space 2}        0{col 37}{txt}  (omitted)
{space 2}interventioncoalition {c |}{col 25}{res}{space 2}        0{col 37}{txt}  (omitted)
{space 19}uncl {c |}{col 25}{res}{space 2}        0{col 37}{txt}  (omitted)
{space 19}rocl {c |}{col 25}{res}{space 2}        0{col 37}{txt}  (omitted)
{hline 24}{c BT}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}

{com}. 
. 
. 
. *Check 3: Lake (2009) Model with Diplomatic Embeddedness Variable conditional fixed effects (fe)

. 
. 
. 
. clogit coalition_participation iembed us_SH1995 us_EH1995 majpowstatus lnmilex sameregion sharedlang jointregime rivalry_involvement govcrises warcoalition interventioncoalition uncl rocl, group(caseno)
{txt}note: multiple positive outcomes within groups encountered.
note: 1 group (67 obs) dropped because of all positive or
      all negative outcomes.
note: warcoalition omitted because of no within-group variance.
note: interventioncoalition omitted because of no within-group variance.
note: uncl omitted because of no within-group variance.
note: rocl omitted because of no within-group variance.
{res}
{txt}Iteration 0:{space 3}log likelihood = {res:-302.87503}  
Iteration 1:{space 3}log likelihood = {res:-301.71075}  
Iteration 2:{space 3}log likelihood = {res:-301.70745}  
Iteration 3:{space 3}log likelihood = {res:-301.70745}  
{res}
{txt}Conditional (fixed-effects) logistic regression

{col 49}Number of obs{col 67}= {res}     1,458
{txt}{col 49}LR chi2({res}10{txt}){col 67}= {res}    146.76
{txt}{col 49}Prob > chi2{col 67}= {res}    0.0000
{txt}Log likelihood = {res}-301.70745{txt}{col 49}Pseudo R2{col 67}= {res}    0.1956

{txt}{hline 24}{c TT}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{col 1}coalition_participation{col 25}{c |}      Coef.{col 37}   Std. Err.{col 49}      z{col 57}   P>|z|{col 65}     [95% Con{col 78}f. Interval]
{hline 24}{c +}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{space 17}iembed {c |}{col 25}{res}{space 2} .0225871{col 37}{space 2} .0074711{col 48}{space 1}    3.02{col 57}{space 3}0.003{col 65}{space 4}  .007944{col 78}{space 3} .0372302
{txt}{space 14}us_SH1995 {c |}{col 25}{res}{space 2} .4007481{col 37}{space 2} .3774823{col 48}{space 1}    1.06{col 57}{space 3}0.288{col 65}{space 4}-.3391037{col 78}{space 3}   1.1406
{txt}{space 14}us_EH1995 {c |}{col 25}{res}{space 2} .7711664{col 37}{space 2} .3616693{col 48}{space 1}    2.13{col 57}{space 3}0.033{col 65}{space 4} .0623075{col 78}{space 3} 1.480025
{txt}{space 11}majpowstatus {c |}{col 25}{res}{space 2}  .026466{col 37}{space 2} .9274233{col 48}{space 1}    0.03{col 57}{space 3}0.977{col 65}{space 4} -1.79125{col 78}{space 3} 1.844182
{txt}{space 16}lnmilex {c |}{col 25}{res}{space 2} .1184917{col 37}{space 2} .0493332{col 48}{space 1}    2.40{col 57}{space 3}0.016{col 65}{space 4} .0218003{col 78}{space 3}  .215183
{txt}{space 13}sameregion {c |}{col 25}{res}{space 2} 1.682103{col 37}{space 2} .2288743{col 48}{space 1}    7.35{col 57}{space 3}0.000{col 65}{space 4} 1.233518{col 78}{space 3} 2.130688
{txt}{space 13}sharedlang {c |}{col 25}{res}{space 2} .9795449{col 37}{space 2} .2446248{col 48}{space 1}    4.00{col 57}{space 3}0.000{col 65}{space 4} .5000891{col 78}{space 3} 1.459001
{txt}{space 12}jointregime {c |}{col 25}{res}{space 2} .3076932{col 37}{space 2} .2470618{col 48}{space 1}    1.25{col 57}{space 3}0.213{col 65}{space 4}-.1765391{col 78}{space 3} .7919255
{txt}{space 4}rivalry_involvement {c |}{col 25}{res}{space 2}-.3113818{col 37}{space 2} .3411452{col 48}{space 1}   -0.91{col 57}{space 3}0.361{col 65}{space 4}-.9800142{col 78}{space 3} .3572505
{txt}{space 14}govcrises {c |}{col 25}{res}{space 2} .2149214{col 37}{space 2} .1703855{col 48}{space 1}    1.26{col 57}{space 3}0.207{col 65}{space 4}-.1190281{col 78}{space 3} .5488708
{txt}{space 11}warcoalition {c |}{col 25}{res}{space 2}        0{col 37}{txt}  (omitted)
{space 2}interventioncoalition {c |}{col 25}{res}{space 2}        0{col 37}{txt}  (omitted)
{space 19}uncl {c |}{col 25}{res}{space 2}        0{col 37}{txt}  (omitted)
{space 19}rocl {c |}{col 25}{res}{space 2}        0{col 37}{txt}  (omitted)
{hline 24}{c BT}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}

{com}. 
. 
. 
. *Check 4: Lake (2009) Model with Institutional Embeddedness Variable case dummies

. 
. 
. 
. logit coalition_participation iembed us_SH1995 us_EH1995 majpowstatus lnmilex sameregion sharedlang jointregime rivalry_involvement govcrises warcoalition interventioncoalition uncl rocl case1 case2 case3 case4 case5 case6 case7 case18 case8 case9 case10 case11 case12 case13 case14 case15 case15

{txt}note: case2 != 0 predicts failure perfectly
      case2 dropped and 67 obs not used

note: case7 omitted because of collinearity
note: case18 omitted because of collinearity
note: case9 omitted because of collinearity
note: case11 omitted because of collinearity
note: case14 omitted because of collinearity
note: case15 omitted because of collinearity
note: case15 omitted because of collinearity
{res}{txt}Iteration 0:{space 3}log likelihood = {res:-442.90224}  
Iteration 1:{space 3}log likelihood = {res:-362.24863}  
Iteration 2:{space 3}log likelihood = {res:-327.71544}  
Iteration 3:{space 3}log likelihood = {res:-326.05772}  
Iteration 4:{space 3}log likelihood = {res:-326.03354}  
Iteration 5:{space 3}log likelihood = {res:-326.03345}  
Iteration 6:{space 3}log likelihood = {res:-326.03345}  
{res}
{txt}Logistic regression{col 49}Number of obs{col 67}= {res}     1,458
{txt}{col 49}LR chi2({res}23{txt}){col 67}= {res}    233.74
{txt}{col 49}Prob > chi2{col 67}= {res}    0.0000
{txt}Log likelihood = {res}-326.03345{txt}{col 49}Pseudo R2{col 67}= {res}    0.2639

{txt}{hline 24}{c TT}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{col 1}coalition_participation{col 25}{c |}      Coef.{col 37}   Std. Err.{col 49}      z{col 57}   P>|z|{col 65}     [95% Con{col 78}f. Interval]
{hline 24}{c +}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{space 17}iembed {c |}{col 25}{res}{space 2} .0230815{col 37}{space 2} .0075613{col 48}{space 1}    3.05{col 57}{space 3}0.002{col 65}{space 4} .0082616{col 78}{space 3} .0379013
{txt}{space 14}us_SH1995 {c |}{col 25}{res}{space 2} .4013148{col 37}{space 2} .3813277{col 48}{space 1}    1.05{col 57}{space 3}0.293{col 65}{space 4}-.3460738{col 78}{space 3} 1.148703
{txt}{space 14}us_EH1995 {c |}{col 25}{res}{space 2} .7913301{col 37}{space 2} .3652698{col 48}{space 1}    2.17{col 57}{space 3}0.030{col 65}{space 4} .0754144{col 78}{space 3} 1.507246
{txt}{space 11}majpowstatus {c |}{col 25}{res}{space 2} .0229268{col 37}{space 2} .9353527{col 48}{space 1}    0.02{col 57}{space 3}0.980{col 65}{space 4}-1.810331{col 78}{space 3} 1.856184
{txt}{space 16}lnmilex {c |}{col 25}{res}{space 2} .1202681{col 37}{space 2}   .04974{col 48}{space 1}    2.42{col 57}{space 3}0.016{col 65}{space 4} .0227794{col 78}{space 3} .2177568
{txt}{space 13}sameregion {c |}{col 25}{res}{space 2}  1.71031{col 37}{space 2}  .231173{col 48}{space 1}    7.40{col 57}{space 3}0.000{col 65}{space 4} 1.257219{col 78}{space 3} 2.163401
{txt}{space 13}sharedlang {c |}{col 25}{res}{space 2} 1.002734{col 37}{space 2} .2469953{col 48}{space 1}    4.06{col 57}{space 3}0.000{col 65}{space 4} .5186322{col 78}{space 3} 1.486836
{txt}{space 12}jointregime {c |}{col 25}{res}{space 2} .3125121{col 37}{space 2} .2490233{col 48}{space 1}    1.25{col 57}{space 3}0.209{col 65}{space 4}-.1755647{col 78}{space 3} .8005889
{txt}{space 4}rivalry_involvement {c |}{col 25}{res}{space 2}-.3192161{col 37}{space 2} .3441956{col 48}{space 1}   -0.93{col 57}{space 3}0.354{col 65}{space 4}-.9938271{col 78}{space 3} .3553948
{txt}{space 14}govcrises {c |}{col 25}{res}{space 2} .2200371{col 37}{space 2} .1728411{col 48}{space 1}    1.27{col 57}{space 3}0.203{col 65}{space 4}-.1187252{col 78}{space 3} .5587994
{txt}{space 11}warcoalition {c |}{col 25}{res}{space 2}-.2531781{col 37}{space 2} .6422372{col 48}{space 1}   -0.39{col 57}{space 3}0.693{col 65}{space 4} -1.51194{col 78}{space 3} 1.005584
{txt}{space 2}interventioncoalition {c |}{col 25}{res}{space 2}-.9530366{col 37}{space 2}  .745089{col 48}{space 1}   -1.28{col 57}{space 3}0.201{col 65}{space 4}-2.413384{col 78}{space 3}  .507311
{txt}{space 19}uncl {c |}{col 25}{res}{space 2} 1.659566{col 37}{space 2} .5714994{col 48}{space 1}    2.90{col 57}{space 3}0.004{col 65}{space 4}  .539448{col 78}{space 3} 2.779685
{txt}{space 19}rocl {c |}{col 25}{res}{space 2}-.4636763{col 37}{space 2} .6413296{col 48}{space 1}   -0.72{col 57}{space 3}0.470{col 65}{space 4}-1.720659{col 78}{space 3} .7933067
{txt}{space 18}case1 {c |}{col 25}{res}{space 2} .2632081{col 37}{space 2} .4823873{col 48}{space 1}    0.55{col 57}{space 3}0.585{col 65}{space 4}-.6822536{col 78}{space 3}  1.20867
{txt}{space 18}case2 {c |}{col 25}{res}{space 2}        0{col 37}{txt}  (omitted)
{space 18}case3 {c |}{col 25}{res}{space 2} .1294692{col 37}{space 2} .9728924{col 48}{space 1}    0.13{col 57}{space 3}0.894{col 65}{space 4}-1.777365{col 78}{space 3} 2.036303
{txt}{space 18}case4 {c |}{col 25}{res}{space 2} .1355096{col 37}{space 2} .9363181{col 48}{space 1}    0.14{col 57}{space 3}0.885{col 65}{space 4} -1.69964{col 78}{space 3} 1.970659
{txt}{space 18}case5 {c |}{col 25}{res}{space 2}-.5981651{col 37}{space 2} 1.075213{col 48}{space 1}   -0.56{col 57}{space 3}0.578{col 65}{space 4}-2.705544{col 78}{space 3} 1.509214
{txt}{space 18}case6 {c |}{col 25}{res}{space 2} .2180736{col 37}{space 2} .9065463{col 48}{space 1}    0.24{col 57}{space 3}0.810{col 65}{space 4}-1.558724{col 78}{space 3} 1.994872
{txt}{space 18}case7 {c |}{col 25}{res}{space 2}        0{col 37}{txt}  (omitted)
{space 17}case18 {c |}{col 25}{res}{space 2}        0{col 37}{txt}  (omitted)
{space 18}case8 {c |}{col 25}{res}{space 2} -2.26763{col 37}{space 2} 1.092679{col 48}{space 1}   -2.08{col 57}{space 3}0.038{col 65}{space 4} -4.40924{col 78}{space 3} -.126019
{txt}{space 18}case9 {c |}{col 25}{res}{space 2}        0{col 37}{txt}  (omitted)
{space 17}case10 {c |}{col 25}{res}{space 2} .6013123{col 37}{space 2} .7025946{col 48}{space 1}    0.86{col 57}{space 3}0.392{col 65}{space 4}-.7757478{col 78}{space 3} 1.978372
{txt}{space 17}case11 {c |}{col 25}{res}{space 2}        0{col 37}{txt}  (omitted)
{space 17}case12 {c |}{col 25}{res}{space 2}-2.635801{col 37}{space 2} .7929398{col 48}{space 1}   -3.32{col 57}{space 3}0.001{col 65}{space 4}-4.189934{col 78}{space 3}-1.081667
{txt}{space 17}case13 {c |}{col 25}{res}{space 2} .0327271{col 37}{space 2} .3644313{col 48}{space 1}    0.09{col 57}{space 3}0.928{col 65}{space 4}-.6815453{col 78}{space 3} .7469994
{txt}{space 17}case14 {c |}{col 25}{res}{space 2}        0{col 37}{txt}  (omitted)
{space 17}case15 {c |}{col 25}{res}{space 2}        0{col 37}{txt}  (omitted)
{space 17}case15 {c |}{col 25}{res}{space 2}        0{col 37}{txt}  (omitted)
{space 18}_cons {c |}{col 25}{res}{space 2}-6.101739{col 37}{space 2} .6921117{col 48}{space 1}   -8.82{col 57}{space 3}0.000{col 65}{space 4}-7.458253{col 78}{space 3}-4.745224
{txt}{hline 24}{c BT}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}

{com}. 
. 
. 
. *Check 5: Multicollinearity tests (VIF and Collin)

. 
. 
. 
. reg coalition_participation iembed us_SH1995 us_EH1995 majpowstatus lnmilex sameregion sharedlang jointregime rivalry_involvement govcrises warcoalition interventioncoalition uncl rocl

{txt}      Source {c |}       SS           df       MS      Number of obs   ={res}     1,525
{txt}{hline 13}{c +}{hline 34}   F(14, 1510)     = {res}    18.10
{txt}       Model {c |} {res} 17.3246905        14  1.23747789   {txt}Prob > F        ={res}    0.0000
{txt}    Residual {c |} {res} 103.249736     1,510  .068377308   {txt}R-squared       ={res}    0.1437
{txt}{hline 13}{c +}{hline 34}   Adj R-squared   ={res}    0.1357
{txt}       Total {c |} {res} 120.574426     1,524  .079117078   {txt}Root MSE        =   {res} .26149

{txt}{hline 22}{c TT}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{col 1}coalition_participa~n{col 23}{c |}      Coef.{col 35}   Std. Err.{col 47}      t{col 55}   P>|t|{col 63}     [95% Con{col 76}f. Interval]
{hline 22}{c +}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{space 15}iembed {c |}{col 23}{res}{space 2} .0025914{col 35}{space 2} .0004922{col 46}{space 1}    5.26{col 55}{space 3}0.000{col 63}{space 4} .0016259{col 76}{space 3} .0035568
{txt}{space 12}us_SH1995 {c |}{col 23}{res}{space 2} .0036677{col 35}{space 2} .0199434{col 46}{space 1}    0.18{col 55}{space 3}0.854{col 63}{space 4} -.035452{col 76}{space 3} .0427874
{txt}{space 12}us_EH1995 {c |}{col 23}{res}{space 2} .0488471{col 35}{space 2} .0231927{col 46}{space 1}    2.11{col 55}{space 3}0.035{col 63}{space 4} .0033538{col 76}{space 3} .0943403
{txt}{space 9}majpowstatus {c |}{col 23}{res}{space 2} .0240437{col 35}{space 2} .0944035{col 46}{space 1}    0.25{col 55}{space 3}0.799{col 63}{space 4}-.1611322{col 76}{space 3} .2092195
{txt}{space 14}lnmilex {c |}{col 23}{res}{space 2} .0034932{col 35}{space 2}  .002284{col 46}{space 1}    1.53{col 55}{space 3}0.126{col 63}{space 4}-.0009868{col 76}{space 3} .0079733
{txt}{space 11}sameregion {c |}{col 23}{res}{space 2} .1380527{col 35}{space 2} .0173794{col 46}{space 1}    7.94{col 55}{space 3}0.000{col 63}{space 4} .1039625{col 76}{space 3}  .172143
{txt}{space 11}sharedlang {c |}{col 23}{res}{space 2} .0798586{col 35}{space 2} .0175275{col 46}{space 1}    4.56{col 55}{space 3}0.000{col 63}{space 4} .0454777{col 76}{space 3} .1142394
{txt}{space 10}jointregime {c |}{col 23}{res}{space 2} .0146023{col 35}{space 2} .0157656{col 46}{space 1}    0.93{col 55}{space 3}0.354{col 63}{space 4}-.0163224{col 76}{space 3}  .045527
{txt}{space 2}rivalry_involvement {c |}{col 23}{res}{space 2}-.0181186{col 35}{space 2} .0197678{col 46}{space 1}   -0.92{col 55}{space 3}0.360{col 63}{space 4}-.0568938{col 76}{space 3} .0206566
{txt}{space 12}govcrises {c |}{col 23}{res}{space 2} .0131577{col 35}{space 2} .0135076{col 46}{space 1}    0.97{col 55}{space 3}0.330{col 63}{space 4} -.013338{col 76}{space 3} .0396534
{txt}{space 9}warcoalition {c |}{col 23}{res}{space 2} .0094993{col 35}{space 2} .0191022{col 46}{space 1}    0.50{col 55}{space 3}0.619{col 63}{space 4}-.0279703{col 76}{space 3}  .046969
{txt}interventioncoalition {c |}{col 23}{res}{space 2}-.0710167{col 35}{space 2} .0229553{col 46}{space 1}   -3.09{col 55}{space 3}0.002{col 63}{space 4}-.1160443{col 76}{space 3}-.0259892
{txt}{space 17}uncl {c |}{col 23}{res}{space 2} .1351915{col 35}{space 2} .0239118{col 46}{space 1}    5.65{col 55}{space 3}0.000{col 63}{space 4} .0882876{col 76}{space 3} .1820954
{txt}{space 17}rocl {c |}{col 23}{res}{space 2} .0147282{col 35}{space 2} .0179389{col 46}{space 1}    0.82{col 55}{space 3}0.412{col 63}{space 4}-.0204596{col 76}{space 3}  .049916
{txt}{space 16}_cons {c |}{col 23}{res}{space 2}-.1433177{col 35}{space 2} .0245117{col 46}{space 1}   -5.85{col 55}{space 3}0.000{col 63}{space 4}-.1913983{col 76}{space 3}-.0952371
{txt}{hline 22}{c BT}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{res}
{com}. 
. 
. 
. vif

{txt}    Variable {c |}       VIF       1/VIF  
{hline 13}{c +}{hline 22}
{space 8}uncl {c |} {res}     2.97    0.337223
{txt}interventi~n {c |} {res}     2.59    0.385727
{txt}{space 6}iembed {c |} {res}     2.17    0.459875
{txt}{space 5}lnmilex {c |} {res}     1.91    0.523906
{txt}{space 8}rocl {c |} {res}     1.69    0.590411
{txt}warcoalition {c |} {res}     1.57    0.636068
{txt}{space 3}us_SH1995 {c |} {res}     1.42    0.704857
{txt}{space 1}jointregime {c |} {res}     1.34    0.745468
{txt}{space 3}us_EH1995 {c |} {res}     1.15    0.868269
{txt}rivalry_in~t {c |} {res}     1.12    0.892730
{txt}{space 2}sharedlang {c |} {res}     1.06    0.945221
{txt}{space 3}govcrises {c |} {res}     1.05    0.949518
{txt}majpowstatus {c |} {res}     1.04    0.964118
{txt}{space 2}sameregion {c |} {res}     1.03    0.974264
{txt}{hline 13}{c +}{hline 22}
    Mean VIF {c |} {res}     1.58

{com}. 
. 
. 
. reg coalition_participation bilatsum igosum us_indally us_indexmilperpop1995 us_indexreltradep1995 us_indexexchangerate1995 majpowstatus lnmilex sameregion sharedlang jointregime rivalry_involvement govcrises warcoalition interventioncoalition uncl rocl

{txt}      Source {c |}       SS           df       MS      Number of obs   ={res}     2,015
{txt}{hline 13}{c +}{hline 34}   F(17, 1997)     = {res}    19.56
{txt}       Model {c |} {res} 19.8159415        17  1.16564362   {txt}Prob > F        ={res}    0.0000
{txt}    Residual {c |} {res} 119.017805     1,997    .0595983   {txt}R-squared       ={res}    0.1427
{txt}{hline 13}{c +}{hline 34}   Adj R-squared   ={res}    0.1354
{txt}       Total {c |} {res} 138.833747     2,014  .068934333   {txt}Root MSE        =   {res} .24413

{txt}{hline 25}{c TT}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{col 1} coalition_participation{col 26}{c |}      Coef.{col 38}   Std. Err.{col 50}      t{col 58}   P>|t|{col 66}     [95% Con{col 79}f. Interval]
{hline 25}{c +}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{space 16}bilatsum {c |}{col 26}{res}{space 2} .0022724{col 38}{space 2} .0007984{col 49}{space 1}    2.85{col 58}{space 3}0.004{col 66}{space 4} .0007067{col 79}{space 3} .0038382
{txt}{space 18}igosum {c |}{col 26}{res}{space 2} .0020702{col 38}{space 2} .0006926{col 49}{space 1}    2.99{col 58}{space 3}0.003{col 66}{space 4} .0007119{col 79}{space 3} .0034284
{txt}{space 14}us_indally {c |}{col 26}{res}{space 2} .0250989{col 38}{space 2} .0158398{col 49}{space 1}    1.58{col 58}{space 3}0.113{col 66}{space 4}-.0059654{col 79}{space 3} .0561633
{txt}{space 3}us_indexmilperpop1995 {c |}{col 26}{res}{space 2}-.0071841{col 38}{space 2} .0115605{col 49}{space 1}   -0.62{col 58}{space 3}0.534{col 66}{space 4} -.029856{col 79}{space 3} .0154879
{txt}{space 3}us_indexreltradep1995 {c |}{col 26}{res}{space 2}-.0004818{col 38}{space 2} .0239191{col 49}{space 1}   -0.02{col 58}{space 3}0.984{col 66}{space 4}-.0473908{col 79}{space 3} .0464272
{txt}us_indexexchangerate1995 {c |}{col 26}{res}{space 2} .0260572{col 38}{space 2} .0178577{col 49}{space 1}    1.46{col 58}{space 3}0.145{col 66}{space 4}-.0089646{col 79}{space 3}  .061079
{txt}{space 12}majpowstatus {c |}{col 26}{res}{space 2} .0265361{col 38}{space 2} .0881436{col 49}{space 1}    0.30{col 58}{space 3}0.763{col 66}{space 4} -.146327{col 79}{space 3} .1993992
{txt}{space 17}lnmilex {c |}{col 26}{res}{space 2}  .003066{col 38}{space 2} .0015676{col 49}{space 1}    1.96{col 58}{space 3}0.051{col 66}{space 4}-8.21e-06{col 79}{space 3} .0061402
{txt}{space 14}sameregion {c |}{col 26}{res}{space 2} .1295085{col 38}{space 2} .0144062{col 49}{space 1}    8.99{col 58}{space 3}0.000{col 66}{space 4} .1012558{col 79}{space 3} .1577611
{txt}{space 14}sharedlang {c |}{col 26}{res}{space 2} .0679757{col 38}{space 2} .0144218{col 49}{space 1}    4.71{col 58}{space 3}0.000{col 66}{space 4} .0396923{col 79}{space 3} .0962591
{txt}{space 13}jointregime {c |}{col 26}{res}{space 2} .0117026{col 38}{space 2} .0137767{col 49}{space 1}    0.85{col 58}{space 3}0.396{col 66}{space 4}-.0153155{col 79}{space 3} .0387208
{txt}{space 5}rivalry_involvement {c |}{col 26}{res}{space 2} -.019142{col 38}{space 2} .0166235{col 49}{space 1}   -1.15{col 58}{space 3}0.250{col 66}{space 4}-.0517432{col 79}{space 3} .0134592
{txt}{space 15}govcrises {c |}{col 26}{res}{space 2} .0085225{col 38}{space 2} .0119402{col 49}{space 1}    0.71{col 58}{space 3}0.475{col 66}{space 4}-.0148941{col 79}{space 3}  .031939
{txt}{space 12}warcoalition {c |}{col 26}{res}{space 2} .0122455{col 38}{space 2}  .015654{col 49}{space 1}    0.78{col 58}{space 3}0.434{col 66}{space 4}-.0184544{col 79}{space 3} .0429454
{txt}{space 3}interventioncoalition {c |}{col 26}{res}{space 2}-.0587108{col 38}{space 2} .0185938{col 49}{space 1}   -3.16{col 58}{space 3}0.002{col 66}{space 4}-.0951762{col 79}{space 3}-.0222454
{txt}{space 20}uncl {c |}{col 26}{res}{space 2} .1256272{col 38}{space 2} .0195275{col 49}{space 1}    6.43{col 58}{space 3}0.000{col 66}{space 4} .0873308{col 79}{space 3} .1639236
{txt}{space 20}rocl {c |}{col 26}{res}{space 2} .0143792{col 38}{space 2} .0146295{col 49}{space 1}    0.98{col 58}{space 3}0.326{col 66}{space 4}-.0143115{col 79}{space 3} .0430698
{txt}{space 19}_cons {c |}{col 26}{res}{space 2}-.1148966{col 38}{space 2} .0196191{col 49}{space 1}   -5.86{col 58}{space 3}0.000{col 66}{space 4}-.1533726{col 79}{space 3}-.0764205
{txt}{hline 25}{c BT}{hline 11}{hline 11}{hline 9}{hline 8}{hline 13}{hline 12}
{res}
{com}. 
. 
. 
. vif  

{txt}    Variable {c |}       VIF       1/VIF  
{hline 13}{c +}{hline 22}
{space 8}uncl {c |} {res}     3.01    0.331764
{txt}{space 6}igosum {c |} {res}     2.70    0.370336
{txt}interventi~n {c |} {res}     2.62    0.382081
{txt}{space 2}us_indally {c |} {res}     1.77    0.564535
{txt}{space 4}bilatsum {c |} {res}     1.77    0.564832
{txt}{space 8}rocl {c |} {res}     1.70    0.589215
{txt}{space 5}lnmilex {c |} {res}     1.68    0.595544
{txt}warcoalition {c |} {res}     1.59    0.628039
{txt}{space 1}jointregime {c |} {res}     1.42    0.702140
{txt}rivalry_in~t {c |} {res}     1.16    0.861318
{txt}us_indexex~5 {c |} {res}     1.16    0.862077
{txt}us_indexre~5 {c |} {res}     1.09    0.913499
{txt}us_indexmi~5 {c |} {res}     1.09    0.913528
{txt}{space 2}sharedlang {c |} {res}     1.09    0.920070
{txt}{space 3}govcrises {c |} {res}     1.05    0.949116
{txt}majpowstatus {c |} {res}     1.04    0.962697
{txt}{space 2}sameregion {c |} {res}     1.03    0.971206
{txt}{hline 13}{c +}{hline 22}
    Mean VIF {c |} {res}     1.59

{com}. 
. 
. 
. collin iembed us_SH1995 us_EH1995 
{txt}(obs=1,537)

  Collinearity Diagnostics

                        SQRT                   R-
  Variable      VIF     VIF    Tolerance    Squared
----------------------------------------------------
    {res}iembed      1.08    1.04    0.9289      0.0711
 us_SH1995      1.16    1.08    0.8595      0.1405
 us_EH1995      1.08    1.04    0.9221      0.0779
{txt}----------------------------------------------------
  Mean VIF{res}      1.11

{txt}                           Cond
        Eigenval          Index
---------------------------------
{res}    1     2.7470          1.0000
    2     0.6156          2.1125
    3     0.5304          2.2757
    4     0.1070          5.0680
{txt}---------------------------------
 Condition Number{res}         5.0680 
{txt} Eigenvalues & Cond Index computed from scaled raw sscp (w/ intercept)
 Det(correlation matrix){res}    0.8591

{com}. 
. 
. 
. collin iembed us_indally us_indexmilperpop1995 us_indexreltradep1995 us_indexexchangerate1995 
{txt}(obs=2,035)

  Collinearity Diagnostics

                        SQRT                   R-
  Variable      VIF     VIF    Tolerance    Squared
----------------------------------------------------
    {res}iembed      1.32    1.15    0.7577      0.2423
us_indally      1.57    1.25    0.6381      0.3619
us_indexmilperpop1995      1.04    1.02    0.9578      0.0422
us_indexreltradep1995      1.07    1.03    0.9345      0.0655
us_indexexchangerate1995      1.13    1.06    0.8888      0.1112
{txt}----------------------------------------------------
  Mean VIF{res}      1.23

{txt}                           Cond
        Eigenval          Index
---------------------------------
{res}    1     2.9454          1.0000
    2     0.9601          1.7515
    3     0.8757          1.8340
    4     0.6816          2.0787
    5     0.4268          2.6269
    6     0.1104          5.1656
{txt}---------------------------------
 Condition Number{res}         5.1656 
{txt} Eigenvalues & Cond Index computed from scaled raw sscp (w/ intercept)
 Det(correlation matrix){res}    0.6154

{com}. 
. 
. log close
      {txt}name:  {res}<unnamed>
       {txt}log:  {res}C:\Users\meh443\Dropbox\Security Cooperation Market\Articles\ISQ submission 2015\Regression analysis\Log file  1 - Lake replication.smcl
  {txt}log type:  {res}smcl
 {txt}closed on:  {res}29 Jun 2016, 16:33:34
{txt}{.-}
{smcl}
{txt}{sf}{ul off}